Determine the flow rate in each section of cast-iron pipe

Question

HARDY CROSS ASSIGNMENT

1. Determine the flow rate in each section of cast-iron pipe in the network shown below using the Darcy friction factor. Flow inputs (Q1, Q2) and flow demands (Q₃, Q₄, Q₅) in the system are given. Assume T = 10°C.

2. Repeat the analysis using the Hazen-Williams coefficient (C = 100). The appropriate equation for SI units is given below:

V = 0.85*C*R_h^0.63*S_f^0.54, where S_f= hf/L
Note: R_h = D/4 for full-flow pipes

3. Assuming pressures of 600 kPa at input nodes Q₁ and Q₂, determine pressures at output nodes. Q₃, Q₄, and Q₅.